In particular (see [1]}, Example 3.26), when \(f(\beta ) = \Vert \beta \Vert _1\) , we have that
\( f^*(y) = \left\lbrace \begin{array}{ll}0 & \mbox{if } y \in B_{\infty } \\\infty & \mbox{otherwise},\end{array}\right.\) 
